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What percent of the FTES were from 528.5 to 1447.5

The median is a number that divides the data into two equal halves and is one of the measures of central tendency in statistics. The data in the 50% range is below the median value while the data in the 50% range is above the median value.

The partition values that divide the data into four equal halves are called quartiles. The first quartile is the value below which 25% of the data is found and above which 75% of the data is found. The median is represented by the second quartile. The third quartile is the value below which 75% of the data is found, and beyond which 25% of the data is found.

We also know that between the first and third quartiles, there is 50%of data.

In the given example, we are given the below parameters about the population:

$$\begin{gathered} \mathrm{μ}=1000\mathrm{FTES} \\ median=1014FTES \\ \mathrm{σ}=474FTES \\ firstquartile=528.5\mathrm{FTES} \\ thirdquartile=1447.5FTES \\ n=29years \end{gathered}$$

Since 528.5 denotes the first quartile and 1447.5 denotes the third quartile, therefore, there will be 50 % of the FTES from 528.5 to 1447.5

Therefore These values are the first and third quartiles, so 50% of the FTES are within this range.